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Finding the Fourth Proportional to 304,212.70, 456,166.71 and 93,823.30

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Solution

The fourth proportional to 304,212.70, 456,166.71 and 93,823.30 is: 140,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,212.70 : 456,166.71 = 93,823.30 : x
  2. Step 2: Convert to fraction form
    304,212.70/456,166.71 = 93,823.30/x
  3. Step 3: Cross multiply
    304,212.70x = 456,166.71 × 93,823.30
  4. Step 4: Simplify right side
    304,212.70x = 42,799,066,082.34
  5. Step 5: Solve for x
    x = 42,799,066,082.34/304,212.70
  6. Step 6: Final answer
    x = 140,687.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.